In power transformers, there can be two types of spurious currents - one through the neutral bushing of a star connected winding to ground, second through the grounding wire from tank to ground.
The neutral current can be from a load having harmonic currents(in case of distribution transformers feeding electronic loads) , unbalanced loads, improperly transposed transmission lines, tap changer alignment issues( OLTC in each phase with improper alignments) or voltage difference with grounding grid potential (large power stations)
Grounding current can be due to potential difference to grounding grid and tank subjected to very high leakage flux from windings. Maximum that came to my notice was in a rectifier transformer in an aluminum smelter. The grounding current was 800A which got reduced to 600 A when one of the tank grounding point was removed from ground connection.